
The strengthening of Seymour's Second Neighborhood Conjecture proposed by arxiv.org/pdf/2607.18047 in conjectures 1.2 & 1.3 is false, via a counterexample of order 36. Kthx, Sol. chatgpt.com/share/6a617a17…
Daniel Franke
7.7K posts

@dfranke
Security researcher. Keeping the internet safe for anarchy.

The strengthening of Seymour's Second Neighborhood Conjecture proposed by arxiv.org/pdf/2607.18047 in conjectures 1.2 & 1.3 is false, via a counterexample of order 36. Kthx, Sol. chatgpt.com/share/6a617a17…




Dinitz-Garg-Goemans conjecture is false. This graph theory problem was open for ~30 years. The graph below has fractional flow cost 58. Any unsplittable flow (with capacity violation <=15) has cost at least 60. Chat with GPT 5.6 Pro where this was found: chatgpt.com/share/6a60b2eb…




We support open-source AI and the innovation it unlocks. But open source is not open season on American IP. When PRC firms conduct covert, industrial-scale distillation attacks that cross the line into IP theft, sanctions and Entity List designations will be on the table.


I am extremely disappointed in Cochrane for their systematic review on amyloid beta-targeting monoclonal antibodies. There's a lot to dislike about it, but the key issue is that they lumped together approved and unapproved drugs and then acted like they were all useless.



hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final ((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)




Today we're opening up the DoorDash CLI in limited beta. `dd-cli` lets you order DoorDash directly from your agent: search stores, find the best deals, check out, and more. Early access for US/Canadian macOS developers by waitlist. Excited to see what folks build!


Announcing @REK - Become a REAL Robot Pilot with our humanoid fighting sim. Top 2 players this weekend qualify for REK2: The first 6 foot tall Humanoid fight in the West on August 15 (Fighting T800s!) Thank You to 8VC and RoboStrategy for co-leading our seed round last year!




These are the kind of mil influencers we need



In 2016, Mamdani’s director of appointments wrote: “It’s important that white people feel defeated.” In 2018, his housing advisor wrote: “Impoverish the *white* middle class.” Mamdani’s own platform called for raising taxes on “richer and whiter neighborhoods.”






Totenberg read the text of the apology message she sent to Justice Alito: "Dear Justice Alito, there are no words to adequately apologize for today's error in reporting your retirement. It was entirely my fault. I rushed out of the courtroom after the opinion announcements, and when I realized that the usual rush of folks after a few minutes had not happened, I asked somebody was going on inside, to which the answer was, 'retirement announcements.' I didn't hear the 's' on 'announcements,' and I assumed something no reporter should ever do, that you were retiring. It was the worst professional mistake of my more than 50 years in journalism. I could go on, but I don't know what else to say, except that I am so, so sorry."